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Title: Resonant dispersive Benney and Broer-Kaup systems in 2+1 dimensions
Authors: Lee, Jyh Hao
Pashaev, Oktay
Keywords: Broer Kaup equation
Hydrodynamic equations
Infinite system
Integrable systems
Issue Date: 2014
Publisher: IOP Publishing Ltd.
Source: Lee, J. H., and Pashaev, O. (2014). Resonant dispersive Benney and Broer-Kaup systems in 2+1 dimensions. Journal of Physics: Conference Series, 482(1). doi:10.1088/1742-6596/482/1/012026
Abstract: We represent the Benney system of dispersionless hydrodynamic equations as NLS type infinite system of equations with quantum potential. We show that negative dispersive deformation of this system is an integrable system including vector generalization of Resonant NLS and 2+1 dimensional nonlocal Resonant NLS. We obtain bilinear form and soliton solutions in these systems and find the resonant character of soliton interaction. Equivalent vector Broer-Kaup system and non-local 2+1 dimensional nonlocal Broer-Kaup equation are constructed.
Description: Physics and Mathematics of Nonlinear Phenomena 2013, PMNP 2013; Gallipoli; Italy; 22 June 2013 through 29 June 2013
ISSN: 1742-6588
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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